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21211222111000 = 2353163251518447
BaseRepresentation
bin1001101001010100111110…
…10110111111001100011000
32210002202212112112220212221
410310222133112333030120
510240011040330023000
6113040144555313424
74316313600055465
oct464523726771430
983082775486787
1021211222111000
1168386a09a7229
122466a6344b874
13bab2958225bc
145348b2d5266c
1526bb44d8661a
hex134a9f5bf318

21211222111000 has 128 divisors (see below), whose sum is σ = 50137820328960. Its totient is φ = 8398825200000.

The previous prime is 21211222110983. The next prime is 21211222111067. The reversal of 21211222111000 is 11122211212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40653777 + ... + 41172223.

It is an arithmetic number, because the mean of its divisors is an integer number (391701721320).

Almost surely, 221211222111000 is an apocalyptic number.

21211222111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211222111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25068910164480).

21211222111000 is an abundant number, since it is smaller than the sum of its proper divisors (28926598217960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21211222111000 is a wasteful number, since it uses less digits than its factorization.

21211222111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518882 (or 518868 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21211222111000 its reverse (11122211212), we get a palindrome (21222344322212).

The spelling of 21211222111000 in words is "twenty-one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 163 200 250 251 326 500 502 652 815 1000 1004 1255 1304 1630 2008 2510 3260 4075 5020 6275 6520 8150 10040 12550 16300 20375 25100 31375 32600 40750 40913 50200 62750 81500 81826 125500 163000 163652 204565 251000 327304 409130 518447 818260 1022825 1036894 1636520 2045650 2073788 2592235 4091300 4147576 5114125 5184470 8182600 10228250 10368940 12961175 20456500 20737880 25922350 40913000 51844700 64805875 84506861 103689400 129611750 130130197 169013722 259223500 260260394 338027444 422534305 518447000 520520788 650650985 676054888 845068610 1041041576 1301301970 1690137220 2112671525 2602603940 3253254925 3380274440 4225343050 5205207880 6506509850 8450686100 10563357625 13013019700 16266274625 16901372200 21126715250 21211222111 26026039400 32532549250 42253430500 42422444222 65065098500 84506861000 84844888444 106056110555 130130197000 169689776888 212112221110 424224442220 530280552775 848448884440 1060561105550 2121122211100 2651402763875 4242244422200 5302805527750 10605611055500 21211222111000